Initial Value Problems for Integrable Systems on a Semi-Strip

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік
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dc.contributor.author	Sakhnovich, A.L.
dc.date.accessioned	2019-02-14T18:19:38Z
dc.date.available	2019-02-14T18:19:38Z
dc.date.issued	2016
dc.identifier.citation	Initial Value Problems for Integrable Systems on a Semi-Strip / A.L. Sakhnovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 60 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 35Q55; 35Q60; 34B20; 35A02
dc.identifier.other	DOI:10.3842/SIGMA.2016.001
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147424
dc.description.abstract	Two important cases, where boundary conditions and solutions of the well-known integrable equations on a semi-strip are uniquely determined by the initial conditions, are rigorously studied in detail. First, the case of rectangular matrix solutions of the defocusing nonlinear Schrödinger equation with quasi-analytic boundary conditions is dealt with. (The result is new even for a scalar nonlinear Schrödinger equation.) Next, a special case of the nonlinear optics (N-wave) equation is considered.	uk_UA
dc.description.sponsorship	This research was supported by the Austrian Science Fund (FWF) under Grant No. P24301. The author is grateful to A. Rainer for a helpful discussion on quasi-analytic functions.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Initial Value Problems for Integrable Systems on a Semi-Strip	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA